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Simplifying 6k + 54 = 3k + -9 Reorder the terms: 54 + 6k = 3k + -9 Reorder the terms: 54 + 6k = -9 + 3k Solving 54 + 6k = -9 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 54 + 6k + -3k = -9 + 3k + -3k Combine like terms: 6k + -3k = 3k 54 + 3k = -9 + 3k + -3k Combine like terms: 3k + -3k = 0 54 + 3k = -9 + 0 54 + 3k = -9 Add '-54' to each side of the equation. 54 + -54 + 3k = -9 + -54 Combine like terms: 54 + -54 = 0 0 + 3k = -9 + -54 3k = -9 + -54 Combine like terms: -9 + -54 = -63 3k = -63 Divide each side by '3'. k = -21 Simplifying k = -21
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